Pith Number

pith:TRAQ3P3Y

pith:2021:TRAQ3P3Y4FZCT34RHR3WKK57C4

not attested not anchored not stored refs pending

On Some Generalized Vertex Folkman Numbers

David E. Narv\'aez, Stanis{\l}aw Radziszowski, Xiaodong Xu, Yu Jiang, Zohair Raza Hassan

arxiv:2110.03121 v3 · 2021-10-07 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRAQ3P3Y4FZCT34RHR3WKK57C4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T05:23:29.061409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c410dbf78e17229ef913c77652bbf17220cd7be71f438807e3f1898c83c20aa

Aliases

arxiv: 2110.03121 · arxiv_version: 2110.03121v3 · doi: 10.48550/arxiv.2110.03121 · pith_short_12: TRAQ3P3Y4FZC · pith_short_16: TRAQ3P3Y4FZCT34R · pith_short_8: TRAQ3P3Y

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TRAQ3P3Y4FZCT34RHR3WKK57C4 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9c410dbf78e17229ef913c77652bbf17220cd7be71f438807e3f1898c83c20aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05be6b8944f874ce00b62e843588b9c06204c7bfd8d16851edc5eff36d5a8b27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-10-07T00:33:25Z",
    "title_canon_sha256": "ab71e93f326d805e2cf8da500f51f92aec235b48040a662eda0f8426b19f8edd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.03121",
    "kind": "arxiv",
    "version": 3
  }
}